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Finding the Fourth Proportional to 648.82, 973.29 and 216.01

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Solution

The fourth proportional to 648.82, 973.29 and 216.01 is: 324.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.82 : 973.29 = 216.01 : x
  2. Step 2: Convert to fraction form
    648.82/973.29 = 216.01/x
  3. Step 3: Cross multiply
    648.82x = 973.29 × 216.01
  4. Step 4: Simplify right side
    648.82x = 210,240.37
  5. Step 5: Solve for x
    x = 210,240.37/648.82
  6. Step 6: Final answer
    x = 324.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.